FINITE STRIP ANALYSIS OF BEAMS AND PLATES WITH MATERIAL NONLINEARITY

A finite strip method for the analysis of beams and plates with material nonlinearity is presented. The elastic stiffness matrix of the structure once formed remains unchanged during the entire displacement solution process. In the thickness direction, every finite strip is further subdivided into several thin layers for numerical integration requirements. The components of elastic stress increments and the components of plastic stress increments are calculated separately. The calculation of the latter is governed by the prandtl-reuss flow rule for isometric hardened materials and the elasto-plastic matrix. The superimposed components of stress at this point must be further adjusted to the yield surface. Moreover, the region adjoining these points, where the equivalent stress is close to the yielding strength of the material, must be checked to find the boundaries of the plastic zone. After calculating the structural resistance by means of numerical integration, and following the difference between the actual stress-strain relationship curve and the initial elastic relationship, the disequilibrium load can be obtained by iteration. The new increment of stresses and strains can then be determined using the disequilibrium load obtained from the last iteration step as a new load applied on the structure. This iteration process must continue until the disequilibrium load approaches zero and the new increment of stresses and strains becomes sufficiently small. A computer program has been developed for this foregoing method. In addition, some beam and plate problems with nonlinear stress-strain relationships are included as numerical examples.(a)

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/00457949
• Corporate Authors:

  Pergamon Press, Incorporated

  Headington Hill Hall
  Oxford OX30BW,    
• Authors:
  • Cheung, M S
  • Ng, S F
  • Bingzhang, Z
• Publication Date: 1989

Language

• English

Media Info

• Pagination: p. 289-94
• Serial:
  • Computers and Structures
  • Volume: 33
  • Issue Number: 1
  • Publisher: Elsevier
  • ISSN: 0045-7949

Subject/Index Terms

• TRT Terms: Beams; Computer programs; Deformation; Design; Finite element method; Mathematical analysis; Mathematical models; Stresses; Structural plates
• Uncontrolled Terms: Plate
• ITRD Terms: 6471: Analysis (math); 3472: Beam; 5595: Deformation; 9011: Design (overall design); 6490: Finite element method; 6473: Mathematical model; 3491: Slab; 8645: Software; 5575: Stress (in material)
• Subject Areas: Design;

Filing Info

• Accession Number: 00498056
• Record Type: Publication
• Source Agency: Transport and Road Research Laboratory (TRRL)
• Files: ITRD, TRIS
• Created Date: Sep 30 1990 12:00AM